Finding the Third Proportional to 53,224 and 74,003

Step by Step Solution

1. Step 1: Write the proportion equation
   53,224 : 74,003 = 74,003 : x
2. Step 2: Convert to fraction form
   53,224/74,003 = 74,003/x
3. Step 3: Cross multiply
   53,224x = 74,003 × 74,003
4. Step 4: Simplify right side
   53,224x = 5,476,444,009
5. Step 5: Solve for x
   x = 5,476,444,009/53,224
6. Step 6: Final answer
   x = 102,894.26